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Finding the Fourth Proportional to 399,709.68, 551,592.72 and 218,417.74

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Solution

The fourth proportional to 399,709.68, 551,592.72 and 218,417.74 is: 301,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,709.68 : 551,592.72 = 218,417.74 : x
  2. Step 2: Convert to fraction form
    399,709.68/551,592.72 = 218,417.74/x
  3. Step 3: Cross multiply
    399,709.68x = 551,592.72 × 218,417.74
  4. Step 4: Simplify right side
    399,709.68x = 120,477,635,302.85
  5. Step 5: Solve for x
    x = 120,477,635,302.85/399,709.68
  6. Step 6: Final answer
    x = 301,412.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.